Sets

Sets

Secondary 4

\[R=\{x:x\text{ is an integer and}\hspace{0.5em}x^2=9\},\]\[S=\{x:x\text{ is a positive integer and}\hspace{0.5em}4<x<5\}.\]

  1. List the elements of \(R\).

  2. State \(S\) and \(n(S)\).

  3. Explain why \(S\neq\{0\}\).

Solution:

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Answer:(a) \(\{-3,3\}\) (b) \(S=\varnothing,\ n(S)=0\) (c) \(\{0\}\) contains one element

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